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Finding the Fourth Proportional to 1,706.25, 2,559.98 and 841.17

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Solution

The fourth proportional to 1,706.25, 2,559.98 and 841.17 is: 1,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.25 : 2,559.98 = 841.17 : x
  2. Step 2: Convert to fraction form
    1,706.25/2,559.98 = 841.17/x
  3. Step 3: Cross multiply
    1,706.25x = 2,559.98 × 841.17
  4. Step 4: Simplify right side
    1,706.25x = 2,153,374.17
  5. Step 5: Solve for x
    x = 2,153,374.17/1,706.25
  6. Step 6: Final answer
    x = 1,262.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.